Geodesic
On the uniform bounds on hypergeometric function
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 289-298 
D. A. Frolenkov. On the uniform bounds on hypergeometric function. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 2, pp. 289-298. http://geodesic.mathdoc.fr/item/DVMG_2015_15_2_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A uniform asymptotic formula for hypergeometric function is obtained.

[1] Balkanova O. G., Frolenkov D. A., A uniform asymptotic formula for the second moment of primitive $L$-functions of prime power level, preprint

[2] Bykovskii V. A., Frolenkov D. A., “O vtorom momente L-ryadov golomorfnykh parabolicheskikh form na kriticheskoi pryamoi”, DAN. Matematika, 463:2 (2015), 133–136 | Zbl

[3] Motohashi Y., “The binary additive divisor problem”, Ann. Sci. Ecole Norm. Sup., 27 (1994), 529–572 | MR | Zbl

[4] Ivic A., Motohashi Y., “The moments of the Riemann zeta-function Part I: The fourth moment off the critical line”, Functiones et Approximatio, 35 (2006), 133–181 | DOI | MR | Zbl

[5] Olver F. W. J., Lozier D. W., Boisvert R. F., Clark C. W., NIST Handbook of Mathematical Functions, Nat. Inst. of Stand. and Tech. and Cam. Univ.Press, Cambridge, 2010 | MR